Answer:
38 : 133 and 16 : 56 are equivalent
Step-by-step explanation:
Given
1) [tex]38 : 133[/tex] and [tex]16 : 56[/tex]
2) [tex]15 : 20[/tex] and [tex]28 : 56[/tex]
Required
Determine which is equivalent
1) [tex]38 : 133[/tex] and [tex]16 : 56[/tex]
[tex]Ratio = 38 : 133[/tex]
Divide by 19
[tex]Ratio = 2:7[/tex] --- can't be further simplified
[tex]Ratio = 16 : 56[/tex]
Divide by 8
[tex]Ratio = 2:7[/tex]
Hence:
[tex]38 : 133[/tex] and [tex]16 : 56[/tex] are equivalent
2) [tex]15 : 20[/tex] and [tex]28 : 56[/tex]
[tex]Ratio = 15 : 20[/tex]
Divide by 5
[tex]Ratio = 3 : 4[/tex]
[tex]Ratio = 28 : 56[/tex]
Divide by 28
[tex]Ratio = 1:2[/tex]
Hence, both are not equivalent.
